Final answer:
To solve the inequality -9x > 54, divide both sides by -9, remember to reverse the inequality sign, resulting in x < -6. Then graph this on a number line with an open circle at -6 and shade to the left.
Step-by-step explanation:
To find the correct solution graph for the inequality -9x > 54, we first solve for x by dividing both sides of the inequality by -9. Remember that when dividing by a negative number, the inequality sign changes direction. So, dividing 54 by -9 gives us x < -6.
To graph this inequality, we draw a number line, place a point at x = -6, and shade to the left of this point because x is less than -6. It's important to use an open circle at -6 to indicate that this value is not included in the solution set.